Inequalities between the Kolmogorov and the Bernstein diameters in a Hilbert space

Pleiades Publishing Ltd - Tập 25 - Trang 320-326 - 1979
S. V. Pukhov1
1M. V. Lomonosov Moscow State University, USSR

Tài liệu tham khảo

V. M. Tikhomirov, Certain Questions of the Theory of Approximation [in Russian], Moscow State Univ. (1976). L. Danszer, B. Grünbaum, and V. Klee, The Helly Theorem [Russian translation], Mir, Moscow (1968). B. S. Mityagin and G. M. Khenkin, “Inequalities between n-diameters,” in: Proceedings of the Seminar on Functional Analysis [in Russian], Vol. 7, Voronezh (1963), pp. 97–103. V. M. Tikhomirov, “Certain questions of the theory of approximation,” Dokl. Akad. Nauk SSSR,160, No. 4, 774–777 (1965). S. B. Stechkin, “On the best approximation of given classes by arbitrary polynomials,” Usp. Mat. Nauk,9, No. 1, 133–134 (1954). M. I. Stesin, “On the Aleksandrov diameters of finite-dimensional octahedra,” Vestn. Mosk. Gos. Univ., Ser. Mat., Mekh., No. 3, 30–35 (1973).